Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma

Nonlinear Dynamics ◽

10.1007/s11071-021-06886-2 ◽

2022 ◽

Author(s):

Dan-Yu Yang ◽

Bo Tian ◽

Meng Wang ◽

Xin Zhao ◽

Wen-Rui Shan ◽

...

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Rogue Waves ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Lax pair, Darboux transformation and rogue waves for the three-coupled fourth-order nonlinear Schrödinger system in an alpha helical protein

Waves in Random and Complex Media ◽

10.1080/17455030.2019.1644466 ◽

2019 ◽

pp. 1-21

Author(s):

Zhong Du ◽

Bo Tian ◽

Han-Peng Chai ◽

Xue-Hui Zhao

Keyword(s):

Darboux Transformation ◽

Fourth Order ◽

Rogue Waves ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Helical Protein ◽

Schrödinger System

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Lax pair and vector semi-rational nonautonomous rogue waves for a coupled time-dependent coefficient fourth-order nonlinear Schrödinger system in an inhomogeneous optical fiber

Chinese Physics B ◽

10.1088/1674-1056/ab7442 ◽

2020 ◽

Vol 29 (3) ◽

pp. 030202

Author(s):

Zhong Du ◽

Bo Tian ◽

Qi-Xing Qu ◽

Xue-Hui Zhao

Keyword(s):

Optical Fiber ◽

Fourth Order ◽

Rogue Waves ◽

Lax Pair ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109580 ◽

2020 ◽

Vol 133 ◽

pp. 109580

Author(s):

Cui-Cui Ding ◽

Yi-Tian Gao ◽

Gao-Fu Deng ◽

Dong Wang

Keyword(s):

Conservation Laws ◽

Darboux Transformation ◽

Inhomogeneous Plasma ◽

Rogue Waves ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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In an inhomogeneous multicomponent optical fiber: Lax pair, generalized Darboux transformation and vector breathers for a three-coupled variable-coefficient nonlinear Schrödinger system

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01918-7 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Meng Wang ◽

Bo Tian

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Variable Coefficient ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Generalized Darboux Transformation ◽

Schrödinger System

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Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106097 ◽

2021 ◽

pp. 106097

Author(s):

He-Yuan Tian ◽

Bo Tian ◽

Yan Sun ◽

Chen-Rong Zhang

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Projection Matrix ◽

Multimode Optical Fiber ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with 4 × 4 Lax pair

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106999 ◽

2021 ◽

Vol 116 ◽

pp. 106999

Author(s):

Zhong Du ◽

Yan-Peng Ma

Keyword(s):

Rogue Waves ◽

Lax Pair ◽

Higher Order ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106936 ◽

2020 ◽

pp. 106936

Author(s):

Meng Wang ◽

Bo Tian ◽

Cong-Cong Hu ◽

Shao-Hua Liu

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Fourth Order ◽

Bound States ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Generalized Darboux Transformation ◽

Birefringent Optical Fiber ◽

Schrödinger System

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Characteristics of higher-order vector rogue waves to a coupled fourth-order nonlinear Schrödinger system in a two-mode optical fiber

The European Physical Journal Plus ◽

10.1140/epjp/s13360-020-00240-y ◽

2020 ◽

Vol 135 (2) ◽

Author(s):

Zhong Du ◽

Bo Tian ◽

Qi-Xing Qu ◽

Xue-Hui Zhao

Keyword(s):

Optical Fiber ◽

Fourth Order ◽

Rogue Waves ◽

Higher Order ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Darboux transformation, generalized Darboux transformation and vector breather solutions for a coupled variable-coefficient cubic-quintic nonlinear Schrödinger system in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

Waves in Random and Complex Media ◽

10.1080/17455030.2021.1986649 ◽

2021 ◽

pp. 1-15

Author(s):

Meng Wang ◽

Bo Tian

Keyword(s):

Optical Fiber ◽

Darboux Transformation ◽

Variable Coefficient ◽

Nonlinear Optical ◽

Kerr Medium ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Generalized Darboux Transformation ◽

Schrödinger System

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Lax pair and vector solitons for a variable-coefficient coherently-coupled nonlinear Schrödinger system in the nonlinear birefringent optical fiber

Journal of Electromagnetic Waves and Applications ◽

10.1080/09205071.2017.1348994 ◽

2017 ◽

Vol 31 (14) ◽

pp. 1363-1375 ◽

Author(s):

Jun Chai ◽

Bo Tian ◽

Han-Peng Chai ◽

Yu-Qiang Yuan

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Lax Pair ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Birefringent Optical Fiber ◽

Schrödinger System

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